JP5673081B2 - Golf club head evaluation simulation method - Google Patents

Golf club head evaluation simulation method Download PDF

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JP5673081B2
JP5673081B2 JP2010287840A JP2010287840A JP5673081B2 JP 5673081 B2 JP5673081 B2 JP 5673081B2 JP 2010287840 A JP2010287840 A JP 2010287840A JP 2010287840 A JP2010287840 A JP 2010287840A JP 5673081 B2 JP5673081 B2 JP 5673081B2
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club head
airflow
head model
set
virtual region
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JP2012135344A (en
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航 坂
航 坂
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ブリヂストンスポーツ株式会社
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    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B69/00Training appliances or apparatus for special sports
    • A63B69/36Training appliances or apparatus for special sports for golf
    • A63B69/3611Training appliances or apparatus for special sports for golf not used, see A63B69/36 and subgroups
    • A63B69/3614Training appliances or apparatus for special sports for golf not used, see A63B69/36 and subgroups using electro-magnetic, magnetic or ultrasonic radiation emitted, reflected or interrupted by the golf club
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5009Computer-aided design using simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5009Computer-aided design using simulation
    • G06F17/5018Computer-aided design using simulation using finite difference methods or finite element methods
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B69/00Training appliances or apparatus for special sports
    • A63B69/36Training appliances or apparatus for special sports for golf
    • A63B2069/3602Player's game information devices
    • A63B2069/3605Golf club selection aids informing player of his average or expected shot distance for each club
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2217/00Indexing scheme relating to computer aided design [CAD]
    • G06F2217/16Numerical modeling

Description

  The present invention estimates the aerodynamic force acting on the club head by analyzing the airflow around the club head when a golf club is swung by using a computer calculation, and the aerodynamic performance of the club head is estimated. The present invention relates to a simulation method to be evaluated.

  When a golf club is swung, the club head attached to the tip of the club reaches a speed of 40 to 50 m / s with a long one such as a driver, but when an object moves in the atmosphere at such a high speed, It is known that air turbulence occurs around an object. In this case, the turbulence of the airflow flowing around the object becomes complicated depending on the shape of the object, which greatly affects the motion of the object.

  The club head of a golf club has a three-dimensionally complicated shape, especially for a wood-type club, and moves at a high speed as described above. Therefore, the influence of the shape on the aerodynamic characteristics is large. It may also affect the swing-through feeling during swing and the orbit stability of the club head. Therefore, grasping the causal relationship between the shape of the club head and the aerodynamic characteristics greatly contributes to the development of the club.

  Normally, when investigating changes in aerodynamic characteristics due to changes in the shape of an object such as a club head, a large number of actual models with different shapes are actually created, and wind tunnel experiments are conducted to examine changes in airflow, The aerodynamic characteristics are evaluated by examining changes in the trajectory and speed when the robot is swung.

  However, in the test evaluation with such a real model, in addition to requiring a lot of time and cost, it is difficult to know a clear aerodynamic characteristic from the change of the obtained airflow, and the aerodynamic characteristic and the club head It is not always easy to clearly associate the causal relationship with the performance. For this reason, it is often the case that a newly designed club head based on the evaluation results obtained through experiments does not exhibit the intended performance. In such a case, it is necessary to redesign and prototype the club head each time to confirm the aerodynamic characteristics, and there is a problem that the club cannot be developed efficiently because more time and cost are generated.

  In addition, as a prior art document regarding the present invention, although there is no one related to the club head as in the present application, the following document regarding the aerodynamic characteristics of the golf ball can be cited.

JP 2006-275722 A Japanese Patent No. 03626113 Japanese Patent No. 0353528 Japanese Patent No. 0347694

  The present invention has been made in view of such problems, and provides a method for efficiently developing a golf club by evaluating the aerodynamic characteristics of a club head of a golf club without performing a test evaluation using an actual model. The purpose is to provide.

In order to achieve the above object, the present inventor provides the following simulation method.
[1] Evaluating the aerodynamic performance of the club head by estimating the aerodynamic force acting on the club head by analyzing the airflow around the club head when the golf club is swung using computer calculations. A simulation method for
(A) A club head model to be evaluated and an airflow virtual area surrounding the club head model are set in a virtual space set in the computer,
(B) A wall surface assuming the ground is set on the lower surface of the airflow virtual region, the lower surface of the airflow virtual region is set as a closed surface, a clearance between the club head model and the ground is set , and , Providing unevenness assuming a lawn ,
(C) dividing the air flow virtual region into a plurality of grid sections so that the volume of the grid section gradually increases in a direction away from the surface of the club head model;
(D) A state where an airflow of a predetermined speed flows into the airflow virtual region from the front of the club head model is set, and this state is defined as a state when the club head model moves in the atmosphere at the predetermined speed by a swing. Calculate the velocity, direction and pressure of the gas flow formed in the air flow virtual region for each grid section,
(E) The velocity, direction, and pressure of the gas flow calculated in each lattice section are integrated to calculate a force acting on the club head model in the air flow virtual region where the gas flow is generated. Golf club head evaluation simulation method.
[2] Evaluating the aerodynamic performance of a club head by estimating the aerodynamic force acting on the club head by analyzing the airflow around the club head when the golf club is swung using computer calculations A simulation method for
(A) A club head model to be evaluated and an airflow virtual area surrounding the club head model are set in a virtual space set in the computer,
(B) A wall surface assuming the ground is set on the lower surface of the airflow virtual region, the lower surface of the airflow virtual region is set as a closed surface, a clearance between the club head model and the ground is set , and , Providing unevenness assuming a lawn ,
(C) dividing the air flow virtual region into a plurality of grid sections so that the volume of the grid section gradually increases in a direction away from the surface of the club head model;
(D) A state where an airflow of a predetermined speed flows into the airflow virtual region from the front of the club head model is set, and this state is defined as a state when the club head model moves in the atmosphere at the predetermined speed by a swing. Calculate the velocity, direction and pressure of the gas flow formed in the air flow virtual region for each grid section,
(E) integrating the velocity, direction and pressure of the gas flow calculated in each lattice section, calculating the force acting on the club head model in the air flow virtual region where the gas flow is generated;
(F) Repeat the above operations (A) to (E) while changing the clearance and airflow velocity, and map the results for each clearance and airflow velocity to create a reference map in advance. And
(G) A golf club head evaluation simulation method, wherein a force acting on a club head at a predetermined clearance and a predetermined speed is estimated from the reference map.
[3] x-axis in the lateral direction of the club head, y-axis in the vertical direction, the longitudinal direction z-axis, you estimate the power of the respective axial directions exerted on the club head [1] or [2], wherein Golf Club head evaluation simulation method.
[ 4 ] The golf club head evaluation simulation method according to any one of [1] to [ 3 ], wherein the aerodynamic performance of the wood-type club head is evaluated.
[ 5 ] From the velocity, direction, and pressure of the gas flow obtained by the simulation method according to any one of [1] to [ 4 ], the pressure distribution due to the gas flow around the club head model during the swing is expressed by an isobar or A golf club head evaluation simulation method characterized by visualizing and analyzing by an isobaric surface.
[ 6 ] From the velocity, direction and pressure of the gas flow obtained by the simulation method according to any one of [1] to [ 4 ], the streamlines and tracelines of the gas flow around the club head model during the swing A golf club head evaluation simulation method characterized by visualizing and analyzing particle trace or volume rendering.

  According to this club head evaluation simulation method, an air dynamic force acting on the club head is analyzed by analyzing the air current around the club head when the golf club is swung without performing a test evaluation using a real model. The aerodynamic performance of the club head can be evaluated. In this case, in the present invention, by setting the ground, it is possible to analyze the airflow equivalent to when the ball is actually shot (when the ground is present), and more accurate evaluation can be performed. In addition, since the clearance between the ground and the lower surface of the club head is set, analysis and evaluation assuming various golfers are possible.

  Therefore, according to the club head evaluation simulation method of the present invention, it is possible to efficiently develop a golf club by evaluating the aerodynamic characteristics of the designed club head without the need to perform a test evaluation using a real model. Is.

  According to the club head evaluation simulation method of the present invention, the aerodynamic force acting on the club head when the club is swung at a predetermined speed can be estimated, and a test evaluation of a club head having a complicated shape using a real model is possible. It is possible to estimate and evaluate the feeling of swinging off at the time of swing and the track stability of the club head.

  As a result, the club head shape evaluation time is shortened, and the accuracy and objectivity of the evaluation are improved, so that higher performance products can be efficiently developed according to the club type and grade. .

It is a conceptual perspective view for demonstrating the club head model and airflow virtual area | region in the method of this invention. It is a conceptual diagram which shows the cross-sectional view which passes along the center of the club head model of FIG. It is a perspective view which shows an example of the club head model in this invention. It is a figure which shows the specific example of the shape of the lattice division formed in the airflow virtual area | region in this invention. It is a graph which shows the force which acts on the club head estimated by the simulation performed in Example 1,2. It is the figure which visualized the pressure distribution by the gas flow around the club head model during a swing from the velocity, direction, and pressure of the gas flow obtained by the simulation of Example 1 by an isobar. It is the figure which visualized the streamline of the gas flow around the club head model during a swing from the speed, direction, and pressure of the gas flow obtained by the simulation of Example 1. It is the figure which visualized the pressure distribution by the gas flow around the club head model during a swing from the velocity, direction, and pressure of the gas flow obtained by the simulation of Example 2 by an isobar. It is the figure which visualized the streamline of the gas flow around the club head model during a swing from the speed, the direction, and the pressure of the gas flow obtained by the simulation of Example 2.

Hereinafter, the present invention will be described in more detail with reference to the drawings.
The simulation method of the present invention is a method for estimating the aerodynamic force acting on the club head by analyzing the airflow around the club head when the golf club is swung using a computer calculation.

  In the simulation method of the present invention, first, (A) a club head model having a predetermined shape and an airflow virtual region surrounding the club head model are set in a virtual space set in the computer.

An example of the setting of the club head model and the airflow virtual region by this computer is shown in FIGS.
FIG. 1 is a conceptual perspective view showing an example of a state in which a club head model and an airflow virtual region are set in a virtual space, and FIG. 2 is a cross-sectional view passing through the center of the club head model in FIG. FIG.

  In the present invention, first, as shown in FIG. 1, (A) a club head model 1 and an airflow virtual region 2 are set in a virtual space. For example, as shown in FIG. 3, the club head model 1 can be created by 3D CAD, etc., and the air flow virtual region 2 is obtained from the center of the club head model 1 as shown in FIG. Each of the directions can be set as a rectangular parallelepiped shape range of ± 5 to ± 150 times the size of the club head model 1. The air flow virtual region 2 needs to be in a range that almost covers the gas flow around the club head that affects the motion of the club head. However, the gas flow far from the golf club affects the motion of the golf club. Since the simulation accuracy decreases if the airflow virtual region is too small and the size of the airflow virtual region is too small, the size of the airflow virtual region 2 is preferably in the above range from the viewpoint of simulation efficiency or accuracy.

  Here, the airflow virtual region 2 is not particularly limited, but it is preferable to set the rear side B longer than the front side F of the club head model 1 as shown in FIG. That is, it is preferable to set the front side where the range of airflow change is relatively small to shorten the calculation time, and to set the rear side where airflow is likely to change to be long to increase accuracy. For example, a rectangular parallelepiped with a front side length F of 50 cm and a rear side length B of 1 m can be exemplified.

  Although not clearly shown in FIG. 1, (B) a wall surface assuming the ground is set on the lower surface 21 of the airflow virtual region 2, and the lower surface of the airflow virtual region is set as a closed surface. The clearance between the closing surface (lower surface) 21 and the lower surface of the club head 1 is set.

  Here, although not particularly limited, it is possible to provide unevenness assuming a lawn on the wall surface 21 assuming the ground set on the lower surface of the airflow virtual region 2, thereby further increasing the actual use situation. Simulation can be performed with close settings. The club head model 1 may be a wood type, an iron type, or any other shape. However, the simulation method of the present invention is used particularly in a region where the head speed is high, and the aerodynamic characteristics are improved in performance and usability. It is suitable for the simulation of a wood type club head having a large influence on the above.

Next, as shown in FIG. 2, (C) the volume of the grid section gradually increases in the direction away from the surface of the club head model 1 in the airflow virtual region 2 in a number of grid sections 22. Partition.

  Specifically, first, the surface of the club head model 1 is divided into, for example, approximately 0.002 mm on one side, and a polygonal surface such as a triangle or a quadrangle, or a substantially polygonal surface such as a triangle or a rectangle. Are set, and lattice sections adjacent to the surface of the club head model with each of the surface sections as one surface are set. The lattice section adjacent to the surface of the club head model is set to a substantially polygonal column shape such as a substantially quadrangular prism shape or a substantially polygonal pyramid shape. Then, as shown in FIG. 2, the remainder of the airflow virtual region 2 is latticed so that the volume of the lattice section 22 gradually increases in the direction away from the club head from the lattice section adjacent to the surface of the club head model. The air flow virtual region 2 is entirely divided by the lattice division 22.

  As the shape of the lattice section 22 formed in the remainder of the airflow virtual region other than the lattice section adjacent to the surface of the club head model 1, the hexahedron shown in FIG. 4A and the triangular prism shape shown in FIG. Polyhedrons such as a pentahedron, a quadrangular pyramid shown in FIG. 4 (c), and a triangular pyramid shown in FIG. 4 (d) can be given, and these can be set in appropriate combination.

  Since the gas flow around the club head has a greater influence when close to the club head, as shown in FIG. 2, the lattice section is fine in the vicinity of the club head model 1 and the influence of the gas flow is small. The distance from 1 is set coarse. The increase in the volume of the lattice section in the direction away from the club head surface of the club head model 1 may be continuous or stepwise.

  Next, (D) a state in which an airflow at a predetermined speed corresponding to an assumed head speed flows into the airflow virtual region 2 from the front of the club head model 1 is set, and this state is swung at a predetermined speed. The state of the movement of the club head at this time is calculated, and the velocity, direction, and pressure of the gas flow formed in the airflow virtual region 1 are calculated for each lattice section.

  That is, in the simulation method of the present invention, a state in which an airflow of a predetermined speed flows into the airflow virtual region 2 from the front of the club head model 1, for example, from the front of the club head model 1 as shown by the arrow direction in FIG. The club head when the golf club was swung in the state where the air flow flows into the air flow virtual region 2 and flows out of the air flow virtual region 2 from the rear moves at the predetermined head speed in the atmosphere and comes closest to the ground. Simulation is performed assuming that the lowest point is reached.

  Then, the motion element in the air flow virtual region of the gas flow generated by the force acting on the surface of the club head model 1 generated by the air flow hitting the club head model 1 is analyzed for each lattice section.

  The motion elements generated when the airflow flows into the airflow virtual region 2 and hits the club head model 1 are the velocity of the gas flow in each axial direction of the three-dimensional spatial coordinate system, the direction of the gas flow, and the surface of the club head model 1. This is the pressure of the gas flow, and the basic equation used in the calculation, that is, the continuous equations (1) to (3) corresponding to the mass conservation law shown below and the Naviestoke equation corresponding to the motion conservation law of the object ( 4), (5) and (6) can be calculated by substituting numerical values.

  As shown in FIG. 1, in the simulation of flowing gas in the direction of the arrow around the club head model 1, the air flow can be analyzed by calculation for each lattice section 22 in the airflow virtual region 2. The above formulas (1) to (6) are used for this calculation, and the above formulas (1) to (6) are discretized in accordance with the fact that the airflow virtual region 2 is partitioned like the lattice section 22. Can do. The simulation method can be performed by appropriately selecting a finite difference method, a finite volume method, a boundary element method, a finite element method, or the like in consideration of simulation conditions and the like.

  Next, (E) the velocity, direction and pressure of the gas flow calculated in each lattice section 22 are integrated to calculate the force acting on the club head model 1 in the air flow virtual region 2 where the gas flow is generated. To do. Here, the forces acting on the club head model 1 are, for example, as shown in FIG. 3, with the left and right direction of the club head 1 as the x axis, the up and down direction as the y axis, and the front and rear direction (traveling direction) as the z axis. Force components in three directions can be calculated.

  In this case, the force in the x-axis direction, the y-axis direction, and the z-axis direction can also be calculated by substituting a velocity value taking the turbulence degree into account using the gas flow as a scattering model.

In addition, after the operations (A) to (E) described above, (F) the operations (A) to (E) are repeatedly performed by changing the clearance and the velocity of the airflow, and each clearance obtained In addition, a reference map is created in advance by mapping the results of the velocity of the airflow, and (G) the force acting on the club head at a predetermined clearance and a predetermined speed can be estimated from the reference map.

Furthermore, it is also possible to analyze the airflow state and pressure state around the club head at the time of swing using the simulation method,
(I) From the velocity, direction, and pressure of the gas flow obtained by the simulation method, the pressure distribution due to the gas flow around the club head model during the swing is visualized and analyzed by an isobaric line or an isobaric surface, or (ii) the above From the velocity, direction, and pressure of the gas flow obtained by the simulation method, it is possible to visualize and analyze the gas stream streamline, trajectory line, particle trace, or volume rendering around the club head model during the swing.

  FIGS. 6 and 8 show examples in which the pressure distribution due to the gas flow around the club head model is visualized with isobaric lines, and FIGS. 7 and 9 show examples in which the stream lines around the club head model are visualized.

  EXAMPLES Hereinafter, although an Example is shown and this invention is demonstrated more concretely, this invention is not restrict | limited to the following Example.

[Example 1]
A club head model having the shape shown in FIGS. 6 and 7 and an airflow virtual region surrounding the club head model are set in the virtual space of the computer, and a wall surface assuming the ground is provided on the lower surface of the airflow virtual region. The lower surface of the airflow virtual region was set as a closed surface, the clearance between the club head model and the ground was set to 50 mm, and the airflow virtual region and club head model similar to those shown in FIG. 1 were set in the computer. In this case, the size of the airflow virtual region was set to 1 m for each of the top, bottom, left, and right, the front length F of the club head model was 50 cm, and the rear length B was 1 m. The direction of the club head model was determined with the x-axis being the left-right direction, the y-axis being the up-down direction, and the z-axis being the front-rear direction (traveling direction).

  Next, the air flow virtual region is divided into a large number of grid sections so that the volume of the grid section gradually increases in the direction away from the surface of the club head model, and a large number of grids are formed as shown in FIG. The section is set in the air flow virtual region, and a state in which an air flow at a speed of 40 m / s (-40 m / s in the z-axis direction) flows into the air flow virtual region from the front and flows out backward is set. As the state of the club head at the lowest point when the club was swung at a head speed of 40 m / s, the velocity, direction and pressure of the gas flow formed in the air flow virtual region were calculated for each lattice section. .

  Then, the velocity, direction, and pressure of the gas flow calculated in each lattice section are integrated, and the forces in the x-axis direction, the y-axis direction, and the z-axis direction acting on the club head model in the airflow virtual region are integrated. Calculated. The results are shown in the graph of FIG.

  Furthermore, from the velocity, direction, and pressure of the obtained gas flow, the pressure distribution due to the gas flow around the club head model during the swing was visualized by an isobaric line, and the stream line of the gas flow was visualized. FIG. 6 shows the pressure distribution, and FIG. 7 shows the streamline.

[Example 2]
The forces in the x-axis direction, y-axis direction, and z-axis direction acting on the club head model were calculated in the same manner as in Example 1 except that the clearance between the club head model and the ground was 10 mm. The results are shown in the graph of FIG. Further, similarly to Example 1, the pressure distribution due to the gas flow around the club head model was visualized by an isobaric line or an isobaric surface, and the stream line of the gas flow was visualized. FIG. 8 shows the pressure distribution and FIG. 9 shows the streamline.

[Consideration about Examples 1 and 2]
As shown in the graph of FIG. 5, the forces in the x-axis direction, the y-axis direction, and the z-axis direction change depending on the clearance from the ground, and when the golf club is swung by the simulation method of the present invention. It was confirmed that the aerodynamic force acting on the club head can be estimated to evaluate the aerodynamic performance of the club head. Therefore, by setting the clearance, the impact of the force applied to the golf club on the tee height (clearance from the ground during swing), such as those who set the tee high and people who set the tee low, is analyzed and evaluated in detail. be able to.

1 Club head model 2 Virtual airflow region 21 Wall surface assuming the ground 22 Grid section

Claims (6)

  1. A simulation method for evaluating the aerodynamic performance of a club head by estimating the aerodynamic force acting on the club head by analyzing the airflow around the club head when a golf club is swung using a computer calculation Because
    (A) A club head model to be evaluated and an airflow virtual area surrounding the club head model are set in a virtual space set in the computer,
    (B) A wall surface assuming the ground is set on the lower surface of the airflow virtual region, the lower surface of the airflow virtual region is set as a closed surface, a clearance between the club head model and the ground is set , and , Providing unevenness assuming a lawn ,
    (C) dividing the air flow virtual region into a plurality of grid sections so that the volume of the grid section gradually increases in a direction away from the surface of the club head model;
    (D) A state where an airflow of a predetermined speed flows into the airflow virtual region from the front of the club head model is set, and this state is defined as a state when the club head model moves in the atmosphere at the predetermined speed by a swing. Calculate the velocity, direction and pressure of the gas flow formed in the air flow virtual region for each grid section,
    (E) The velocity, direction, and pressure of the gas flow calculated in each lattice section are integrated to calculate a force acting on the club head model in the air flow virtual region where the gas flow is generated. Golf club head evaluation simulation method.
  2. A simulation method for evaluating the aerodynamic performance of a club head by estimating the aerodynamic force acting on the club head by analyzing the airflow around the club head when a golf club is swung using a computer calculation Because
    (A) A club head model to be evaluated and an airflow virtual area surrounding the club head model are set in a virtual space set in the computer,
    (B) A wall surface assuming the ground is set on the lower surface of the airflow virtual region, the lower surface of the airflow virtual region is set as a closed surface, a clearance between the club head model and the ground is set , and , Providing unevenness assuming a lawn ,
    (C) dividing the air flow virtual region into a plurality of grid sections so that the volume of the grid section gradually increases in a direction away from the surface of the club head model;
    (D) A state where an airflow of a predetermined speed flows into the airflow virtual region from the front of the club head model is set, and this state is defined as a state when the club head model moves in the atmosphere at the predetermined speed by a swing. Calculate the velocity, direction and pressure of the gas flow formed in the air flow virtual region for each grid section,
    (E) integrating the velocity, direction and pressure of the gas flow calculated in each lattice section, calculating the force acting on the club head model in the air flow virtual region where the gas flow is generated;
    (F) Repeat the above operations (A) to (E) while changing the clearance and airflow velocity, and map the results for each clearance and airflow velocity to create a reference map in advance. And
    (G) A golf club head evaluation simulation method, wherein a force acting on a club head at a predetermined clearance and a predetermined speed is estimated from the reference map.
  3.   3. The golf club head evaluation simulation method according to claim 1 or 2, wherein a force in each of the axial directions acting on the club head is estimated with the left and right direction of the club head as x axis, the up and down direction as y axis, and the front and rear direction as z axis. .
  4. The golf club head evaluation simulation method according to any one of claims 1 to 3 to evaluate the aerodynamic performance of the wood club head.
  5. The pressure distribution due to the gas flow around the club head model during the swing is visualized by an isobaric line or an isobaric surface from the velocity, direction, and pressure of the gas flow obtained by the simulation method according to any one of claims 1 to 4. And analyzing the golf club head.
  6. 5. From the velocity, direction, and pressure of the gas flow obtained by the simulation method according to any one of claims 1 to 4 , the gas flow streamline, trajectory line, particle trace, or volume around the club head model during the swing. A golf club head evaluation simulation method characterized by visualizing and analyzing rendering.
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